Abstract
We introduce the C-robust efficient solution and optimistic C-robust efficient solution of uncertain multiobjective optimization problems (UMOP). By using image space analysis, robust optimality conditions as well as saddle point sufficient optimality conditions for uncertain multiobjective optimization problems are established based on real-valued linear (regular) weak separation function and real-valued (vector-valued) nonlinear (regular) weak separation functions. We also introduce two inclusion problems by using the image sets of robust counterpart of (UMOP) and establish the relations between the solution of the inclusion problems and the C-robust efficient solution (respectively, optimistic C-robust efficient solution) of (UMOP).
| Original language | English |
|---|---|
| Pages (from-to) | 629-644 |
| Number of pages | 16 |
| Journal | Journal of Industrial and Management Optimization |
| Volume | 19 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2023 |
Bibliographical note
Funding Information:The authors would like to express their sincere thanks to the associated editor and anonymous referees for helpful suggestions and valuable comments for the paper. The research part of JC was done during his visit to Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He is grateful to Prof. Y. H. Dai for providing excellent research facilities and support during his stay at AMSS. This research was partially supported by the Natural Science Foundation of China (12071379, 12126412), the Fundamental Research Funds for the Central Universities (XDJK2020B048), the Natural Science Foundation of Chongqing(cstc2021jcyj-msxmX0925), the Youth Top Talent Program of Chongqing Talents, and Basic Research Grant (SB191054) of KFUPM, Dhahran, Saudi Arabia. The first author is also supported by Chongqing Humanities and Social Science Project (21SKGH298).
Funding Information:
Acknowledgments. The authors would like to express their sincere thanks to the associated editor and anonymous referees for helpful suggestions and valuable comments for the paper. The research part of JC was done during his visit to Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He is grateful to Prof. Y. H. Dai for providing excellent research facilities and support during his stay at AMSS. This research was partially supported by the Natural Science Foundation of China (12071379, 12126412), the Fundamental Research Funds for the Central Universities (XDJK2020B048), the Natural Science Foundation of Chongqing(cstc2021jcyj-msxmX0925), the Youth Top Talent Program of Chongqing Talents, and Basic Research Grant (SB191054) of KFUPM, Dhahran, Saudi Arabia. The first author is also supported by Chongqing Humanities and Social Science Project (21SKGH298).
Publisher Copyright:
© 2023, Journal of Industrial and Management Optimization. All Rights Reserved
Keywords
- Image space analysis
- Maximal elements
- Robust multiobjective optimization
- Robust optimality condition
- Separation functions
ASJC Scopus subject areas
- Business and International Management
- Strategy and Management
- Control and Optimization
- Applied Mathematics